Results 91 to 100 of about 1,211,085 (119)
Entry of the Gladiators. Thunder and Blazes March.
sectionalpianoads on back cover for Carl Fischer stock7527-3Johns Hopkins University, Levy Sheet Music Collection, Box 173, Item 016by Julius Fucik.
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A note on the Dancer-Fucik spectra of the fractional p-Laplacian and Laplacian operators
We study the Dancer-Fucik spectrum of the fractional p-Laplacian ...
Kanishka Perera +2 more
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Potential Landesman-Lazer type conditions and the Fučík spectrum
Summary: We prove the existence of solutions to the nonlinear problem \[ u''(x)+\lambda_+ u^+(x)-\lambda_- u^-(x)+g(x,u(x))=f(x),\quad x\in (0,\pi),\quad u(0)=u(\pi)=0, \] where the point \([\lambda_+,\lambda_-]\) is a point of the Fučík spectrum and the nonlinearity \(g(x,u(x))\) satisfies a potential Landesman-Lazer type condition.
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Solution to a semilinear problem on type II regions determined by the Fučik spectrum
The author considers the semilinear problem \(u''(x) + \alpha u^ + (x) + \beta u^ - (x)= f(x)\) in \((0,\pi)\) with the Dirichlet boundary data \(u(0) =u(\pi) =0\). He uses a linking theorem to prove that the problem admits solutions for particular \((\alpha, \beta)\) lying in type II regions, i.e., between the curves \(\Sigma_{2i+1, 1}\) and \(\Sigma_{
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Entry of the gladiators [music] : march of triumph /
H. & S. 3742 (Publisher number). For piano.; Cover title.; Pl. no.: H.
Fucik, Julius, 1872-1916.
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Double resonance problems with respect to the Fucik spectrum
Indiana University Mathematics Journal, 2003The authors prove the existence of nontrivial solutions for semilinear elliptic boundary value problems with jumping nonlinearities that have resonance with respect to the Fučík spectrum of the asymptotic part both at zero and at infinity.
Kanishka Perera
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Science in China Series A: Mathematics, 2001
This paper is devoted to study semilinear elliptic boundary value problem, that is; \[ -\Delta u=f(u)\quad\text{in }\Omega, \qquad u|_{\partial\Omega}=0, \tag{1} \] where \(\Omega\) is a smooth bounded domain in \(\mathbb R^n\). The authors compute that critical groups of zero and infinity to get a nontrivial solution.
Zhitao Zhang
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This paper is devoted to study semilinear elliptic boundary value problem, that is; \[ -\Delta u=f(u)\quad\text{in }\Omega, \qquad u|_{\partial\Omega}=0, \tag{1} \] where \(\Omega\) is a smooth bounded domain in \(\mathbb R^n\). The authors compute that critical groups of zero and infinity to get a nontrivial solution.
Zhitao Zhang
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Type (II) regions between curves of the Fucik spectrum
Nonlinear Differential Equations and Applications, 1997The Fucik spectrum arises in the study of semilinear elliptic boundary value problems of the form (1) \(Au=f(x,u)\), where \(A\) is a selfadjoint operator having compact resolvent on \(L^2(\Omega)\), \(\Omega\subset \mathbb{R}^n\), and \(f(x,t)\) is a Carathéodory function on \(\overline\Omega \times\mathbb{R}\) such that \(f(x,t)/t\to a\) a.e.
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The Fučík spectrum of the discrete Dirichlet operator
Linear Algebra and its Applications, 2018The authors deal with a discrete Dirichlet operator of second kind, investigate its Fucik spectrum and describe all Fucik curves. They discuss the properties of the solutions of the linear initial value problem, investigate continuous extension of a solution of semilinear initial value problem, localize all generalized zeros and obtain several ...
Iveta Looseová, Petr Nečesal
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